We study the singular limit of a degenerate nonlinear diffusion equation
which appears in a chemotaxis-growth model. We prove the convergence to the solution
of a free boundary problem where the motion equation of the interface involve the
gradient of the chemotactic concentration and the critical velocity of a degenerate Fisher
equation.
Publié le : 2004-03-14
Classification:
35K57,
35K50,
35K65,
92C17
@article{1150998073,
author = {Dkhil, Fathi},
title = {Singular limit of a degenerate chemotaxis-Fisher equation},
journal = {Hiroshima Math. J.},
volume = {34},
number = {1},
year = {2004},
pages = { 101-115},
language = {en},
url = {http://dml.mathdoc.fr/item/1150998073}
}
Dkhil, Fathi. Singular limit of a degenerate chemotaxis-Fisher equation. Hiroshima Math. J., Tome 34 (2004) no. 1, pp. 101-115. http://gdmltest.u-ga.fr/item/1150998073/